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Nonlinear Problems in Random Theory
Open accessAbstract
A series of lectures on the role of nonlinear processes in physics, mathematics, electrical engineering, physiology, and communication theory.From the preface:For some time I have been interested in a group of phenomena depending upon random processes. One the one hand, I have recorded the random shot effect as a suitable input for testing nonlinear circuits. On the other hand, for some of the work that Professor W. A. Rosenblith and I have been doing concerning the nature of the electroencephalogram, and in particular of the alpha rhythm, it has occurred to me to use the model of a system of random nonlinear oscillators excited by a random input...At the beginning we had contemplated a series of only four or five lectures. My ideas developed pari passu with the course, and by the end of the term we found ourselves with a set of fifteen lectures. The last few of these were devoted to the application of my ideas to problems in the statistical mechanics of gases. This work is both new and tentative, and I found that I had to supplement my course by the writing over of these with the help of Professer Y. W. Lee.
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Citations
Cited by
Fading memory and the problem of approximating nonlinear operators with Volterra series
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Mental imagery: In search of a theory
Pylyshyn, Z. W. (2002) · Behavioral and Brain Sciences · doi:10.1017/s0140525x02000043 · Cited by 722
Computational Mechanics: Pattern and Prediction, Structure and Simplicity
Shalizi, C. R., & Crutchfield, J. P. (2001) · Journal of Statistical Physics · doi:10.1023/a:1010388907793 · Cited by 471
An algebraic approach to nonlinear functional expansions
Fliess, M., Lamnabhi, M., & Lamnabhi-Lagarrigue, F. (1983) · IEEE Transactions on Circuits and Systems · doi:10.1109/tcs.1983.1085397 · Cited by 274
Restoring lost cognitive function.
Berger, T. W., Ahuja, A., Courellis, S. H., Deadwyler, S. A., Erinjippurath, G., Gerhardt, G. A., Gholmieh, G., Granacki, J. J., Hampson, R., Hsaio, M. C., et al. (2005) · IEEE Engineering in Medicine and Biology Magazine · doi:10.1109/memb.2005.1511498 · Cited by 148
Metadata
- Authors
- Wiener, N., & Teichmann, T.
- Venue
- Physics Today
- Publisher
- AIP Publishing
- Published
- 1959-08-01
- Volume
- 12
- Issue
- 8
- Pages
- 52-54
- ISSN
- 0031-9228 (ISSN-L)
- 1945-0699
- OpenAlex
- W2058522416
- Cited by
- 1,248
- References
- 0
- FWCI
- 43.82
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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